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MATSUOKA Naoyuki
Department Undergraduate School , School of Science and Technology Position Professor |
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| Language | English |
| Publication Date | 2013/04 |
| Type | Academic Journal |
| Title | Almost Gorenstein rings |
| Contribution Type | Co-authored (Other) |
| Journal | Journal of Algebra |
| Journal Type | Another Country |
| Volume, Issue, Page | 379,pp.355-381 |
| Author and coauthor | Shiro Goto, Naoyuki Matsuoka, Tran Thi Phuong |
| Details | Barucci and Fröberg (1997) [2]introduced the notion of an almost Gorenstein ring in the case of an analytically unramified local ring (R,m). In this work we provide a framework that allows us to generalize this notion to include the analytically ramified case. As a consequence, for any Cohen-Macaulay local ring (R,m) of dimension one we solve in full generality the problem of determining when the endomorphism algebra m:m is Gorenstein. We also provide characterizations for rings to be almost Gorenstein in connection with the principle of idealization. Several examples are explored as well. © 2013 Elsevier Inc. |
| DOI | 10.1016/j.jalgebra.2013.01.025 |
| ISSN | 00218693 |
| PermalinkURL | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84873673382&origin=inward |